CONTROLCURRENT2026-05-29

Adaptive Artificial Time-Delay Control with Barrier Lyapunov Constraints for Euler-Lagrange Robots

Saksham Gupta, Rishabh Dev Yadav, Sarthak Mishra, Amitabh Sharma, Sourish Ganguly, Wei Pan, Spandan Roy, Simone Baldi

This paper provides a Control & PlanningControlThe method used to make the robot move the way you want. method that lets manipulators operate safely under model uncertainty while respecting hard constraints (Movement, Mechanics & Robot BodyJointA movable connection between robot parts. limits, Movement, Mechanics & Robot BodyVelocityHow fast something moves. bounds) without needing to know Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. parameters beforehand. The time-delay estimation technique estimates disturbances in real-time, and barrier Lyapunov functions guarantee constraints are never violated during Core ConceptsTaskThe job the robot is supposed to complete, such as pick-and-place, navigation, or drawer opening. Core ConceptsExecutionActually carrying out planned or predicted actions on the robot..

THE PROBLEM

This paper focuses on Control & PlanningControlThe method used to make the robot move the way you want.. Develops an adaptive Control & PlanningControlThe method used to make the robot move the way you want. framework combining time-delay estimation (TDE) with barrier Lyapunov functions to handle state-dependent uncertainties and enforce time-varying constraints on Euler-Lagrange systems (manipulators). The approach estimates approximation error bounds online and provides Lyapunov-stability guarantees while maintaining strict Control & PlanningConstraintA rule the robot must obey, such as avoiding collisions or staying within joint limits. Movement, Mechanics & Robot BodyComplianceThe robot’s ability to yield a little during contact instead of staying rigid.. Read the paper by tracking the Core ConceptsTaskThe job the robot is supposed to complete, such as pick-and-place, navigation, or drawer opening. definition, the Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. or data assumptions, and the evidence that supports the claimed improvement.

HOW IT WORKS

1

Task framing

The paper frames the work as Control & PlanningControlThe method used to make the robot move the way you want.. Start here because it defines what success means and which assumptions the rest of the method inherits.

2

Core method

This paper provides a Control & PlanningControlThe method used to make the robot move the way you want. method that lets manipulators operate safely under model uncertainty while respecting hard constraints (Movement, Mechanics & Robot BodyJointA movable connection between robot parts. limits, Movement, Mechanics & Robot BodyVelocityHow fast something moves. bounds) without needing to know Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. parameters beforehand. The time-delay estimation technique estimates disturbances in real-time, and barrier Lyapunov functions guarantee constraints are never violated during Core ConceptsTaskThe job the robot is supposed to complete, such as pick-and-place, navigation, or drawer opening. Core ConceptsExecutionActually carrying out planned or predicted actions on the robot.. When reading the method section, identify the inputs, the learned or engineered representation, and the Core ConceptsActionA command the robot sends to its motors, controller, or low-level system. or prediction produced by the system.

3

Data and supervision

For robotics work, the data story is part of the method: check whether the system depends on Imitation & Reinforcement LearningTeleoperation (teleop)A human remotely controlling the robot, often to collect demonstrations., Simulation & Sim-to-RealSimulationA virtual environment where robots can be trained or tested., internet video, human labels, or Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. rollouts.

4

Evaluation evidence

The paper should be judged through its Simulation & Sim-to-RealEvaluationMeasuring how well a robot system performs. protocol: what data is used, what Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. or simulator is tested, and which Evaluation & ResearchBaselineA reference method used for comparison. comparisons support the claim. Look for the gap between the headline result and the Simulation & Sim-to-RealDeploymentPutting the trained system on a real robot. setting you would actually care about.

KEY RESULTS

Main contributionConceptual contribution

This paper provides a Control & PlanningControlThe method used to make the robot move the way you want. method that lets manipulators operate safely under model uncertainty while respecting hard constraints (Movement, Mechanics & Robot BodyJointA movable connection between robot parts. limits, Movement, Mechanics & Robot BodyVelocityHow fast something moves. bounds) without needing to know Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. parameters beforehand. The time-delay estimation technique estimates disturbances in real-time, and barrier Lyapunov functions guarantee constraints are never violated during Core ConceptsTaskThe job the robot is supposed to complete, such as pick-and-place, navigation, or drawer opening. Core ConceptsExecutionActually carrying out planned or predicted actions on the robot..

WHY DEVELOPERS SHOULD CARE

This paper provides a Control & PlanningControlThe method used to make the robot move the way you want. method that lets manipulators operate safely under model uncertainty while respecting hard constraints (Movement, Mechanics & Robot BodyJointA movable connection between robot parts. limits, Movement, Mechanics & Robot BodyVelocityHow fast something moves. bounds) without needing to know Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. parameters beforehand. The time-delay estimation technique estimates disturbances in real-time, and barrier Lyapunov functions guarantee constraints are never violated during Core ConceptsTaskThe job the robot is supposed to complete, such as pick-and-place, navigation, or drawer opening. Core ConceptsExecutionActually carrying out planned or predicted actions on the robot..

LIMITATIONS

The main limitation to check is whether the claimed behavior holds outside the paper's reported setup. That means testing across different Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. embodiments, scenes, objects, and data distributions.

WHAT COMES NEXT

The practical next step is independent reproduction with clear baselines, ablations, and stress tests. For a developer, the useful follow-up is to map the paper's Control & PlanningControlThe method used to make the robot move the way you want. assumptions onto a concrete Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. stack, then test the smallest version of the method that could run end to end.

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